Dynamic Geometry: P115

The diagram shows a black circle. A horizontal yellow chord is drawn creating two circular segments, their respective heights are $4$ and $9$ . In each circular segment, we inscribe a triangle. In both triangles we inscribe a square. The triangles are both evolving so that the blue point and the orange point are moving at the same horizontal rate. When the ratio of the upper square's side to the lower square's side is equal to $\dfrac{4323}{7448}$ , the ratio of the upper triangle's perimeter to the perimeter of the lower triangle can be expressed as $\dfrac{p}{q}$ , where $p$ and $q$ are coprime positive integers. Find $2\left(q-p\right)-1$ .